In: Economics
Asset Type |
Asset Amount |
Liability |
Liability Amount |
---|---|---|---|
Reserves |
Checkable Deposits |
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Loans |
Bank Capital |
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Assume the government of Smithville uses measures of monetary aggregates similar to those used by the United States. The central bank of Smithville imposes a required reserve ratio of 20 percent. For additional information, refer to the figures below:
Bank Deposits held at the central bank = $400 million
Currency and coin held by the public = $500 million
Currency and coin in bank vaults = $200 million
Checkable deposits held by the banks in Broncoville = $1.4 billion
Traveler’s checks = $20 million
With the above information in mind, answer the following questions:
A. What is the size of M1?
B. Are commercial banks in Smithville holding excess reserves?
If so, how much?
C. Can the commercial banking system increase checkable deposits? If so, by how much?
Checkable bank deposits = $1.4 billion i.e $1400 million
A.
M1 = Currency held by the public + Checkable Bank deposits + Traveler's checks
= $500 + $1400 + $20
= $1920 million
B.
Excess Reserve = Actual Reserves - Required Reserves
Reserves = Cash in bank vaults + Bank deposits held at the central bank
= $200 + $400
= $600
Therfore, Actual reserves = $600
Required Reserves = Reserve requirement * Checkable deposits
= 20% * $1400
= $280 million
Excess Reserve = $600 - $280
= $320 million
C.
Yes, commercial banking system can increase checkable deposits by $1600 million
Excess reserve = $320 million
Therefore, increase checkable deposits by = $320 / reserve requirement
= $320 / 0.2
= $1600 million